Get rid of Basil Faulty? Around Ring from Hotel! (7)
I believe the answer is:
abolish
'get rid of' is the definition.
('abolish' can be a synonym of 'get rid of')
'basil faulty? around ring from hotel' is the wordplay.
'faulty?' is an anagram indicator (I've seen 'faulty' mean this).
'around' is an insertion indicator.
'ring' becomes 'o' (**).
'from' is a charade indicator (letters next to each other).
'hotel' becomes 'h' (phonetic alphabet: alpha, bravo, charlie etc.).
'basil' is an anagram of 'ablis'.
'ablis' going around 'o' is 'abolis'.
'abolis'+'h'='ABOLISH'
(Other definitions for abolish that I've seen before include "Put an end to, formally" , "Put an end to (something)" , "Cancel, annul" , "Put an end to, cancel" , "Stop or put an end to" .)